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Aleonysh [2.5K]
3 years ago
7

Consider this absolute value function.

Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

D

Step-by-step explanation:

f(x) = |x+3|=x+3   when x+3≥0 ⇒x≥-3

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What is the measure of ∠F, to the nearest degree?
juin [17]
Three lines given -- it's a natural for the cos(theta) law. A small hint: I think  the preferred way of doing it is to use the cos(theta) law twice. It will give you a definite answer.

Find G first
g = 6 yd
h = 7 yd
f = 5 yards.

g^2 = h^2 + f^2 - 2*h*f*cos(G)
6^2 = 7^2 + 5^2- 2*7*5*cos(G)
36 = 49 + 25 - 70*Cos(G)
36 = 74 - 70*cos(G)
-48 = - 70 * cos(G) Divide by -70
-38/-70 = cos(G)
0.5429 = cos(G)
cos-1(0.5429) = G
G = 57.12

Now find H
h^2 = g^2 + f^2 - 2*g*f*cos(H)
7^2 = 5^2 + 6^2 - 2*5*6*cos(H)
49 = 25 + 36 - 60cos(H)
49 =61  - 60*cos(H) 
Cos(H) = -12 / - 60
Cos(H) = 0.2
H = cos-1(0.2)
H = 78.46

F  can be found because every triangle has 180 degrees
F + 78.46 + 57.12 = 180
F +  135.58 = 180
F = 180 - 135.58
F = 44.41

A <<<< Answer.
8 0
3 years ago
Read 2 more answers
(5x+2) and {3(x+14)} what is
Phoenix [80]

Answer:

Step-by-step explanation:

x=20

Reorder the terms:

(2 + 5x) = 3(x + 14)

Remove parenthesis around (2 + 5x)

2 + 5x = 3(x + 14)

Reorder the terms:

2 + 5x = 3(14 + x)

2 + 5x = (14 * 3 + x * 3)

2 + 5x = (42 + 3x)

Solving

2 + 5x = 42 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

2 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0

2 + 2x = 42 + 0

2 + 2x = 42

Add '-2' to each side of the equation.

2 + -2 + 2x = 42 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 42 + -2

2x = 42 + -2

Combine like terms: 42 + -2 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

7 0
4 years ago
Which expression is equivalent to 6X equals 10 X +20
Andrei [34K]
I think it’s 2(5x +10)
7 0
3 years ago
What is 2x3xnxn=54 what is n?
Doss [256]
It would be
2x3xnxn
N has a 1 in front of it it's just not shown
So
2x3x1nx1n then you'd at as much as possible
5x2n
6 0
3 years ago
Read 2 more answers
Expand the following: 3(16x-24)
Fynjy0 [20]

Answer:

48x-72

Step-by-step explanation:

u multiply 3 by 16x then multiply 3 by 24 and bring down your  minus sign

6 0
3 years ago
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